Topics of Research

Representation Theory of the Symmetric Group:

Designs with large t:

A. Wassermann: Finding simple t-designs with enumeration techniques.
Journal of Combinatorial Designs, 6, 2 (1998), pp. 79-90.
R. Laue, Halvings of small point sets , preprint (1998). ps.gz-version

the DISCRETA homepage

LINK TO THE DISCRETA HOMEPAGE.

List of Large Designs:
Q: How were the designs constructed ? A: Using DISCRETA, a software for the construction of t-designs with prescribed automorphism group. You can get to the DISCRETA homepage by following this LINK TO THE DISCRETA HOMEPAGE.
see also for information on 6-designs and designs on up to 8 points:
Bernd Schmalz: t-Designs zu vorgegebener Automorphismengruppe, Januar 1992 (Dissertation) (Prof. Laue)
- .ps.Z - Version (555 k)
Literature:
D.L. Kreher, $t$-designs, $t \ge 3,$ The CRC Handbook on Combinatorial Designs C.J. Colbourn, J.H. Dinitz (eds.), CRC Press, Boca Raton, New York, London, Tokyo, 1996, pp. 47-66.
- Jeff Dinitz: HCD
- Jeff Dinitz: HCD add on
B. Schmalz, The $t$-designs with prescribed automorphism group, new simple 6-designs. J. Combinatorial Designs 1 (1993), 125-170.

Construction of regular graphs:

Construction of graphs with given degree partition:

Finite Group Actions:

A. Kerber: Algebraic Combinatorics via Finite Group Actions (hyperlatex-version)
R. Laue: Construction of Combinatorial Objects - A Tutorial , Bayreuther Mathematische Schriften 43 (1993), p 53-96. ps.gz-version
Some programs for finite group actions with SYMMETRICA
H. Fripertinger: The Cycle Index of the Symmetry Group of the Fullerene C₆₀
H. Fripertinger: The 3-dimensional Cycle Index of the Leapfrog of a Polyhedron
H. Fripertinger: Some constructions under finite group actions in SYMMETRICA
H. Fripertinger: Enumeration, construction and random generation of block codes

Mathematical chemistry:

MOLGEN, a molecular package developed in Bayreuth

Codes:

H. Fripertinger: isometry classes of codes

AK 150903